Factoring GCF of Polynomials

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

Find the GCF of 12 and 18.

Back

6

Front

How do you factor a polynomial using GCF?

Back

To factor a polynomial using GCF, identify the largest factor common to all terms, then divide each term by the GCF and express the polynomial as the product of the GCF and the resulting polynomial.

Front

Factor the polynomial: 8n^3 + 2n^2.

Back

2n^2(4n + 1)

Front

Find the GCF of 24 and 36.

Back

12

Front

What is the GCF of the terms 5x^2 and 20x?

Back

5x

Front

Factor the polynomial: 3x^3 + 9x^2 - 15x.

Back

3x(x^2 + 3x - 5)

Front

What is the first step in finding the GCF of two numbers?

Back

List the factors of each number and identify the largest factor they have in common.

Front

If the GCF of two numbers is 1, what does that indicate about the numbers?

Back

It indicates that the numbers are coprime, meaning they have no common factors other than 1.

Front

What is the GCF of the coefficients in the polynomial 6x^3 + 9x^2 + 3x?

Back

3